On the Relative Coefficients of the Multiaxial Probability Distribution Function for Fracture

Abstract

In the previous works, including Weibull's, the relative coefficients of the multi-axial probability distribution functions for brittle fracture are proposed on the basis of uni-axial tension. On the contrary, in this paper, it is considered that Weibull's uniaxial distribution function is exactly correct only in case of tri-axial uniform tension. Then, new relative coefficients are proposed, which are constant and independent of the crack shape or condition of crack propagation, and some discussions are made on Weibull's parameters.